Remember last week when Ryan of Year 6 asked...
“Does light weigh anything? Because it can be sucked in by black holes?”
Well Mr Photon soon chipped in
“Dear Ryan
You may remember being taught that light travels in straight lines? In fact Albert Einstein discovered that light simply follows the shape of space (he actually says space-time). Space-time near a black hole is very very steeply curved. A light beam coming near to a Black hole will travel into it. There is no 'sucking in' like a vacuum cleaner. Very interestingly physicists realised there is an area near the ‘edge' of a Black hole where light beams will travel forever around it in a circle. This is the 'Event Horizon' that you may have heard about.”
Well that might solve the ‘sucking in' aspect and also helps Hugh Mackay (aged 8) who remarked
“I saw a picture in the newspaper about stars being born in a black hole. The thing that's puzzling me is how could stars be born in a black hole? Surely they would be sucked back in! “
James Stevenson suggested a good source of information on this topic and if you'd like more details then email us with BLACK HOLE in the subject line to planet-science.news@nesta.org.uk However Sharon Colpman addresses the matter of whether light weighs anything and it is truly a magnificent feat of mathematics. Lead on Sharon...
“Sunlight, composed of photons of various energies, has MOMENTUM but no MASS. That is, it does not "weigh" anything in the usual sense that we use the term "weigh" because the earth's gravitational field has almost no effect upon photons. They are not attracted by the force of gravity. When we "weigh" some object that has a certain mass, we measure the force that the earth exerts upon that mass. The mass comes to rest on our balance or scales, and hence has a "rest mass". Since photons, at least from the Sun, always travel at the speed of light they can have no "rest mass". However, they can and do exert a force, e.g. solar "winds".
Since sunlight has energy, it also has a mass associated with it as indicated by Einstein's famous equation E = mc^2 or m = E/(c^2).
The sun converts 4.2 x 10^9 kg of mass to energy every second. Using this number, we can estimate the amount of energy (mass) from the sun hitting the earth by calculating the fraction of the entire solid angle the earth intercepts as seen by the sun. Since the diameter of the earth is about 1.3 x 10^7 m and it is 1.5 x 10^11 m from the sun, it subtends an angle of about 8.7 x 10^-5 radians. If we square this angle and divide by 4 pi = 12.6, we get the solid angle fraction subtended by the earth, which I calculate to be about 6 x 10^-10 of the entire solid angle. Multiplying this by the 4.2 x 10^9 kg burned by the sun every second and we obtain 2.5 kg/s as the mass of the photons (light) from the sun striking the earth every second.”
Wow! Thanks scientists one and all, on this occasion the scientist was NOT stumped!
If you can help or have a burning question of your own then send us an email with STUMP THE SCIENTIST in the subject line to planet-science.news@nesta.org.uk